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2 years ago

The sum of three consecutive even integers is –78. What are the integers?

1 answer:

6 0

You need to write 3 consecutive EVEN numbers using only one variable. multiply by 2 to ensure the numbers are even. Add or subtract 2 to get the next consecutive number.
(2x - 2) , (2x) , (2x + 2)

add them up to equal -78
-78 = (2x-2) + 2x + (2x+2)
-78 = 6x
-78/6 = x
-13 = x

the numbers are: (2(-13)-2) , 2(-13) , (2(-13)+2)
-28, -26 , -24

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2 years ago

Which functions are the same as their inverse functions

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3 years ago

The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the

uranmaximum [27]

The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is $\rm M = log\left ( \dfrac{10S}{S}\right )$ .

Given

The magnitude, M, of an earthquake is defined to be M = log StartFraction I Over S EndFraction, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable.

<h3>The magnitude of an earthquake</h3>

The magnitude of an earthquake is a measure of the energy it releases.

For an earthquake with 1,000 times more intense than a standard earthquake.

The equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is;

$\rm M =log \dfrac{I}{S}\\\\M = log \dfrac{10s}{s}\\\\M=log 10\\\\M =1$

Hence, the equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake is $\rm M = log\left ( \dfrac{10S}{S}\right )$ .

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2 years ago

Select all expressions that are equivalent to 6x+1-(3x-1).

klio [65]

Answer:6x+1-3x-1

negative and negative= positive

3x+2

answer: 3x+2

Step-by-step explanation:

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2 years ago

Read 2 more answers

210 balloons are filled for a reception this is 70% of the entire number balloons purchased which equation can be used to find t

Yuri [45]

Answer:

300 balloons.

Step-by-step explanation:

Given:

210 balloons are filled for a reception this is 70% of the entire number balloons purchased.

Question asked:

Which equation can be used to find the total number of balloons purchased ?

<u>Solution:</u>

Let total number of balloons purchased = $x$

70% of the number of balloons purchased = 210

$\frac{70}{100} \times x=210\\ \\ \frac{7x}{10} =210\\ \\ By\ cross\ multiplication\\ \\ 7x=210\times10\\ \\7x=2100\\\\ By\ dividing\ both\ sides\ by\ 7\\ \\ \frac{7x}{7} =\frac{2100}{7} \\ \\ x=300$

Therefore, total number balloons purchased was 300.

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3 years ago